Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry

Details Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry

2008-07-11

arxiv.org/abs/0807.1847v2

Nucl.Phys.B814:405-438,2009; Erratum-ibid.B851:238-243,2011

Physics

Condensed Matter

Statistical Mechanics

46 pages with no figure

Scientific paper

10.1016/j.nuclphysb.2009.01.002

We derive exactly scalar products and form factors for integrable higher-spin XXZ chains through the algebraic Bethe-ansatz method. Here spin values are arbitrary and different spins can be mixed. We show the affine quantum-group symmetry, $U_q(\hat{sl_2})$, for the monodromy matrix of the XXZ spin chain, and then obtain the exact expressions. Furthermore, through the quantum-group symmetry we explicitly derive the diagonalized forms of the $B$ and $C$ operators in the $F$-basis for the spin-1/2 XXZ spin chain, which was conjectured in the algebraic Bethe-ansatz calculation of the XXZ correlation functions. The results should be fundamental in studying form factors and correlation functions systematically for various solvable models associated with the integrable XXZ spin chains.

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